Find the Standard Form of the Equation of the Following $$5 x ^ { 2 } - 3 y ^ { 2 } = 15$$

question 116

Multiple Choice

Find the standard form of the equation of the following hyperbola.
$$5 x ^ { 2 } - 3 y ^ { 2 } = 15$$

• A) \(\frac { x ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } - \frac { y ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 5 ^ { 2 } } - \frac { y ^ { 2 } } { 3 ^ { 2 } } = 1\)
• C) \(\frac { y ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } - \frac { x ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } = 1\)
• D) \(\frac { y ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } - \frac { x ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } = 1\)
• E) \(\frac { x ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } - \frac { y ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } = 1\)

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Definitions:

Thomas Theorem

A theory in sociology which states that if people define situations as real, they are real in their consequences, highlighting the significance of perception in social interaction.

Socializing Agents

Individuals, groups, or institutions that play a role in integrating individuals into the norms, values, and practices of a society.

Social Environment

The cultural, social, and psychological milieu that surrounds individuals and can affect their behavior and experiences.

Thomas Theorem

The principle that situations defined as real are real in their consequences, emphasizing the social construction of reality and its influence on behavior.